51407222400 has 768 divisors, whose sum is σ = 195836572800. Its totient is φ = 13160448000.

The previous prime is 51407222387. The next prime is 51407222431. The reversal of 51407222400 is 422270415.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 375235132 + ... + 375235268.

Almost surely, 2^51407222400 is an apocalyptic number.

51407222400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51407222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97918286400).

51407222400 is an abundant number, since it is smaller than the sum of its proper divisors (144429350400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51407222400 is a wasteful number, since it uses less digits than its factorization.

51407222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 51407222400 its reverse (422270415), we get a palindrome (51829492815).

The spelling of 51407222400 in words is "fifty-one billion, four hundred seven million, two hundred twenty-two thousand, four hundred".